8224416 has 120 divisors (see below), whose sum is σ = 25613280. Its totient is φ = 2581632.

The previous prime is 8224369. The next prime is 8224417. The reversal of 8224416 is 6144228.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 8224416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8224417) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49165 + ... + 49331.

It is an arithmetic number, because the mean of its divisors is an integer number (213444).

Almost surely, 2^8224416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8224416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12806640).

8224416 is an abundant number, since it is smaller than the sum of its proper divisors (17388864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8224416 is a wasteful number, since it uses less digits than its factorization.

8224416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 191 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 8224416 is about 2867.8242623982. The cubic root of 8224416 is about 201.8529138710.

The spelling of 8224416 in words is "eight million, two hundred twenty-four thousand, four hundred sixteen".